Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
54684r |
Isogeny class |
Conductor |
54684 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.4615515812513E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10772895,-10251531178] |
[a1,a2,a3,a4,a6] |
Generators |
[-22686534664598:-252312643017792:8960030533] |
Generators of the group modulo torsion |
j |
6297457702786000/1576576590687 |
j-invariant |
L |
6.8823563737241 |
L(r)(E,1)/r! |
Ω |
0.084863757105145 |
Real period |
R |
20.274722120695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18228g2 7812f2 |
Quadratic twists by: -3 -7 |